Actuarial Notes

CAS Exam 7 Spring 2013, Question 10

Study guide: Exam 7

Given the following information ($000) as of December 31, 2012:

Accident Year Earned Risk Pure Premium Adjusted Premium Aggregate Reported Loss Aggregate Loss Report Lag
2010 9,200 9,200 3,600 70%
2011 8,500 7,400 2,500 50%
2012 10,000 10,000 4,200 30%

Part a (1.5 points)

Use the Stanard-Bühlmann method to estimate the IBNR for accident years 2010 through 2012 combined.

Part b (2 points)

Use a credibility-weighted combination of the Stanard-Bühlmann and chain ladder estimates to calculate a total IBNR estimate for accident years 2010 through 2012 combined. Assume credibility is a linear function of the report lag with a credibility factor of 0.35.

Part c (0.5 points)

Briefly describe one advantage and one disadvantage of the Stanard-Bühlmann method as compared to the chain-ladder method.

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Concepts tested

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